结合数学建模的微积分课堂教学改革与实践分析

Reform and Practice Analysis of Calculus Teaching Process Combined with Mathematical Modeling

微积分是高等教育中难度较高的一门公共课程。上好微积分第一堂课,从讲数学建模案例入手,以此为桥梁,引导学生了解数学应用之广泛,认识到学好数学的重要性,以提高学生学习数学的兴趣。利用经典模型,分析微积分知识体系,并将课上教学与信息化辅助工具相结合,进一步帮助学生掌握知识脉络,抓住知识精髓并融会贯通。

Calculus is an important basic course in university.In order to improve learning interest from students,the first lesson of this course plays an extremely important role in the whole teaching process.By using mathematical modeling cases,we expect to guide students to understand mathematics application and realize the importance of learning math.Through introducing the classical mathematical models,we analyze the frame of the knowledge about calculus and give the relationship between real life and the theory of mathematics.In the class,we combined the traditional teaching methods and information auxiliary tools.Base these,we can develop and improve the students'quality,ability,knowledge structure,logical thinking,and innovative thinking.